We prove an optimal exponential lower bound on the width of the resonance associated to the first eigenvalue of the cavity for a general Helmholtz resonator with straight neck, in any dimension.
Duyckaerts, T., Grigis, A., Martinez, A.G. (2016). Resonance widths for general Helmholtz resonators with straight neck. DUKE MATHEMATICAL JOURNAL, 165(14), 2793-2810 [10.1215/00127094-3644795].
Resonance widths for general Helmholtz resonators with straight neck
GRIGIS, ALAIN;MARTINEZ, ANDRE' GEORGES
2016
Abstract
We prove an optimal exponential lower bound on the width of the resonance associated to the first eigenvalue of the cavity for a general Helmholtz resonator with straight neck, in any dimension.File in questo prodotto:
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